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Finding the Fourth Proportional to 215.56, 297.30 and 182.92

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Solution

The fourth proportional to 215.56, 297.30 and 182.92 is: 252.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.56 : 297.30 = 182.92 : x
  2. Step 2: Convert to fraction form
    215.56/297.30 = 182.92/x
  3. Step 3: Cross multiply
    215.56x = 297.30 × 182.92
  4. Step 4: Simplify right side
    215.56x = 54,382.12
  5. Step 5: Solve for x
    x = 54,382.12/215.56
  6. Step 6: Final answer
    x = 252.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.